{"id":"https://openalex.org/W2524527016","doi":"https://doi.org/10.1109/mmar.2016.7575138","title":"Topological derivative and neural network for inverse problems of coupled models","display_name":"Topological derivative and neural network for inverse problems of coupled models","publication_year":2016,"publication_date":"2016-08-01","ids":{"openalex":"https://openalex.org/W2524527016","doi":"https://doi.org/10.1109/mmar.2016.7575138","mag":"2524527016"},"language":"en","primary_location":{"id":"doi:10.1109/mmar.2016.7575138","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mmar.2016.7575138","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 21st International Conference on Methods and Models in Automation and Robotics (MMAR)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034907563","display_name":"Marta Lipnicka","orcid":"https://orcid.org/0000-0003-3768-5691"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Marta Lipnicka","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045071126","display_name":"Katarzyna Szulc","orcid":"https://orcid.org/0000-0001-8338-2531"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Katarzyna Szulc","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081215203","display_name":"Antoni \u017bochowski","orcid":"https://orcid.org/0000-0003-4585-1311"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Antoni Zochowski","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5034907563"],"corresponding_institution_ids":["https://openalex.org/I130701444"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14782853,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"53","issue":null,"first_page":"230","last_page":"234"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9605000019073486,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9605000019073486,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11115","display_name":"Topology Optimization in Engineering","score":0.9526000022888184,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9211000204086304,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.7140282392501831},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.6587674617767334},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6242697834968567},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5919824242591858},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5792409777641296},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5436100959777832},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5198400616645813},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5009479522705078},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.46913525462150574},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.45893025398254395},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.4575038254261017},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33873283863067627},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27202078700065613},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15337970852851868},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14898282289505005},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13921111822128296},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.053867340087890625}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7140282392501831},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6587674617767334},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6242697834968567},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5919824242591858},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5792409777641296},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5436100959777832},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5198400616645813},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5009479522705078},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.46913525462150574},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.45893025398254395},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.4575038254261017},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33873283863067627},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27202078700065613},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15337970852851868},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14898282289505005},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13921111822128296},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.053867340087890625},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/mmar.2016.7575138","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mmar.2016.7575138","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 21st International Conference on Methods and Models in Automation and Robotics (MMAR)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1969732453","https://openalex.org/W1974686806","https://openalex.org/W1976817146","https://openalex.org/W1976893916","https://openalex.org/W1979905552","https://openalex.org/W1995067704","https://openalex.org/W2005748165","https://openalex.org/W2010655405","https://openalex.org/W2010852247","https://openalex.org/W2060654491","https://openalex.org/W2067860458","https://openalex.org/W2094251381","https://openalex.org/W2108959409","https://openalex.org/W2126446996","https://openalex.org/W4293183906"],"related_works":["https://openalex.org/W2381413256","https://openalex.org/W4317939968","https://openalex.org/W4390144857","https://openalex.org/W2112385259","https://openalex.org/W2363926780","https://openalex.org/W1508692582","https://openalex.org/W4281647907","https://openalex.org/W2348241498","https://openalex.org/W2331917905","https://openalex.org/W3155039083"],"abstract_inverted_index":{"In":[0],"the":[1,10,15,21,25,43,47,58,63,67,75,79,84],"paper":[2],"we":[3],"consider":[4],"a":[5],"new":[6],"method":[7],"based":[8,69,82],"on":[9,46,83],"neural":[11,54],"network":[12],"for":[13],"finding":[14],"location":[16],"of":[17,60,66,70,78],"small":[18],"holes":[19],"in":[20,23,62],"domain,":[22],"which":[24,56],"coupled":[26],"linear":[27,36,64],"and":[28,37,81],"nonlinear":[29,38],"boundary":[30],"value":[31],"problems":[32],"are":[33,40],"defined.":[34],"The":[35],"components":[39],"connected":[41],"by":[42],"transmission":[44],"conditions":[45],"interface":[48],"boundary.":[49],"We":[50],"use":[51],"an":[52],"artificial":[53],"network,":[55],"calculates":[57],"locations":[59],"hole":[61],"component":[65],"domain":[68,80],"input":[71],"data,":[72],"coming":[73],"from":[74],"exterior":[76],"part":[77],"topological":[85],"derivative.":[86]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}